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Finding the Third Proportional to 13,423,738 and 20,137,047

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Solution

The third proportional to 13,423,738 and 20,137,047 is: 30,207,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423,738 : 20,137,047 = 20,137,047 : x
  2. Step 2: Convert to fraction form
    13,423,738/20,137,047 = 20,137,047/x
  3. Step 3: Cross multiply
    13,423,738x = 20,137,047 × 20,137,047
  4. Step 4: Simplify right side
    13,423,738x = 405,500,661,880,209
  5. Step 5: Solve for x
    x = 405,500,661,880,209/13,423,738
  6. Step 6: Final answer
    x = 30,207,730.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.